6533b7d5fe1ef96bd12645c4

RESEARCH PRODUCT

Structure function as a tool in AE and Dst time series analysis

Jouni TakaloJussi TimonenR. Lohikoski

subject

GeophysicsSeries (mathematics)Scale (ratio)Structure functionExponentRange (statistics)General Earth and Planetary SciencesStatistical physicsAffine transformationTime seriesScalingMathematics

description

A new method to analyse the structure function (SF) has been constructed and used in the analysis of the AE time series for the years 1978-85 and Dst time series for 1957-84. It is shown that this SF analysis makes a clear distinction between affine and periodicity dominated time series, and it displays the essential periodicities of the series in a range relevant to its characteristic time scale. The AE time series is found to be affine such that the scaling exponent changes at a time scale of 113 (±9) minutes. On the other hand, in the SF function analysis, the Dst data are dominated by the 24-hour and 27-day periods. The 27-day period is modulated by the annual variation.

https://doi.org/10.1029/95gl00053